Answered: Let c be a nonnegative number, i.e. c ≥…

Name: There is a reason all our definitions in this class begin with ∀ > 0.
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Description: There is a reason all our definitions in this class begin with ∀ > 0. Here are two results which can be considered two sides of the same concept – I consider it the fundamental observation of analysis – which is the reason for this ubiquity of ∀ >

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There is a reason all our definitions in this class begin with ∀ > 0. Here are two results which can be considered two sides of the same concept – I consider it the fundamental observation of analysis – which is the reason for this ubiquity of ∀ > 0.

a) Let c be a nonnegative number, i.e. c ≥ 0. Suppose c ≤ for all > 0. Prove that c = 0.

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